A note on resolution of rational and hypersurface singularities
| dc.creator | Stepanov, D. A. | |
| dc.date | 2006-02-05 | |
| dc.date | 2009-04-22 | |
| dc.date.accessioned | 2026-07-07T13:06:59Z | |
| dc.date.available | 2026-07-07T13:06:59Z | |
| dc.description | It is well known that the exceptional set in a resolution of a rational surface singularity is a tree of rational curves. We generalize the combinatoric part of this statement to higher dimensions and show that the highest cohomologies of the dual complex associated to a resolution of an isolated rational singularity vanish. We also prove that the dual complex associated to a resolution of an isolated hypersurface singularity is simply connected. As a consequence, we show that the dual complex associated to a resolution of a 3-dimensional Gorenstein terminal singularity has the homotopy type of a point. | |
| dc.description | 10 pages, the structure of the paper has been slightly revised and a mistake in the proof of degeneration of spectral sequence in Lemma 2.3 (Lemma 2.4 of the published version of the paper) has been corrected | |
| dc.identifier | https://arxiv.org/abs/math/0602080 | |
| dc.identifier | http://arxiv.org/abs/math/0602080 | |
| dc.identifier | Proc. Amer. Math. Soc. 136 (2008), 2647-2654 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227955 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B05; 32S50 | |
| dc.title | A note on resolution of rational and hypersurface singularities | |
| dc.type | text |